Suppose a particle travels along a straight line with velocity V(t)=2t^2-6t-12 where 0≤t≤6. a. Find the net displacement of the particle over the time interval [0, 6]. b. Find the total distance traveled by the particle over the time interval [0, 6].

Q: 5. A particle travels along the curve ry = 15. As the particle reaches the point (5, 3), the…

A: The given curve equation xy=15 Differentiate with respect to t x×dydt+y×dxdt=0dxdt=-xy×dydtdxdt=6xy…

Q: The dimensions of a closed rectangular box are measured as 90 centimeters, 80 centimeters, and 60…

A: Given: The dimensions of a closed rectangular box are measured as 90 centimeters, 80 centimeters and…

Q: 4. Use differential to estimate v15. (3 points total)

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Q: y = x – 2 + Ce* X-

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Q: The particles position along a rectilinear path with an acceleration given by the equation below…

A: Given that, x=53y13+y52 We have to find x when y=6.562.

Q: Given a rate of 175 pesos per hour, how many hours should you work to earn 35,962.50 pesos

A: If ∆x is the amount earned in time ∆t, then the equation for the rate of the amount earned per unit…

Q: 5. Find the equation of the normal line to the curve y=x-2x+6 at the point (0,6).

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Q: Estimate 291/5 using a linear approximation.

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Q: Perform the numerical computation of the parachutist example to compute for the velocity. Employ a…

A: Let's find.

Q: A wooden rectangular box is to be made having dimensions 3 ft, 4 ft, 5 ft. The cost of the wood to…

A: The error in the estimate of the cost of the wood is 120P

Q: Find the amount of a 6% acid solution and the amount of a 14% acid solution Pat Mayfield should…

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Q: Suppose a train is moving along a trackwith a velocity of v(t) = t^2 − 3t. In the first four…

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Q: estimate the instantaneous rate of change at the point indicated

A: To find the instantaneous rate of change we will find y'(x) We use the power rule

Q: C is the curve y = e® from (2, e²) to (0,1) and F = (x², -y), compute ſ, F-dr.

A: Given that, C is the curve y=ex from 2,e2 to 0,1 and F=x2,-y Then, F=x2,-y=x2,-ex So, F→=x2i^-exj^